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34957420 = 2254189479
BaseRepresentation
bin1000010101011…
…0100001101100
32102210000120021
42011112201230
532422114140
63245131524
7603063451
oct205264154
972700507
1034957420
1118807033
12b859ba4
13731c584
1448dd828
153107b4a
hex215686c

34957420 has 48 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 13460480.

The previous prime is 34957411. The next prime is 34957427. The reversal of 34957420 is 2475943.

It is not an unprimeable number, because it can be changed into a prime (34957427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72741 + ... + 73219.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 234957420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34957420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

34957420 is an abundant number, since it is smaller than the sum of its proper divisors (41247380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34957420 is a wasteful number, since it uses less digits than its factorization.

34957420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 34957420 is about 5912.4800211079. The cubic root of 34957420 is about 326.9739276628.

The spelling of 34957420 in words is "thirty-four million, nine hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 89 164 178 205 356 410 445 479 820 890 958 1780 1916 2395 3649 4790 7298 9580 14596 18245 19639 36490 39278 42631 72980 78556 85262 98195 170524 196390 213155 392780 426310 852620 1747871 3495742 6991484 8739355 17478710 34957420